Let the cost of one movie is x and one vidoe is y :
One month greg rented 9 movies and 7 video games for a total of $72.
Cost of 9 movies and 7 videos = $72 for one month
i.e. 9x + 7y = 72
The next month he rented 3 movies and 5 video games for a total of $42.
Cost of 3 movies and 5 video games = $42
3x + 5y = 42
Thus, the system oof equation :
9x + 7y = 72 ( 1 )
3x + 5y = 42 ( 2 )
Solve the system of equation by using elimination method :
Multiiply the equation (2) by 3 :
3(3x + 5y) = 3 x 42
9x + 15y = 126
Subtract the above equation from ( 1 )
9x + 15y - 9x - 7y = 126 - 72
8y = 54
Divide both side by 8
8y/8 = 54/8
y = 6.75
Substitute the value of y = 6.75 in the equation ( 1)
9x + 7y = 72
9x + 7( 6.75) = 72
9x + 47.25 = 72
9x = 72 - 47.25
9x = 24.75
x = 24.75/9
x = 2.75
So, cost price for rent of one movie is x = $2.75
Cost price for rent if the one video game is y = $ 6.75
Answer :
Rental cost of each movie is $2.75
Rental cost of each video game is $6.75